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150056460 = 223253722531
BaseRepresentation
bin10001111000110…
…10111000001100
3101110100122202200
420330122320030
5301403301320
622520121500
73501313251
oct1074327014
9343318680
10150056460
1177780704
1242306290
132511b808
1415d01428
15d291290
hex8f1ae0c

150056460 has 72 divisors (see below), whose sum is σ = 467493936. Its totient is φ = 38931840.

The previous prime is 150056449. The next prime is 150056507. The reversal of 150056460 is 64650051.

It is a happy number.

150056460 is a `hidden beast` number, since 15 + 0 + 0 + 5 + 646 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4606 + ... + 17925.

Almost surely, 2150056460 is an apocalyptic number.

150056460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150056460 is an abundant number, since it is smaller than the sum of its proper divisors (317437476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150056460 is a wasteful number, since it uses less digits than its factorization.

150056460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22583 (or 22578 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 150056460 is about 12249.7534669070. The cubic root of 150056460 is about 531.3959403432.

The spelling of 150056460 in words is "one hundred fifty million, fifty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 22531 45062 67593 90124 112655 135186 202779 225310 270372 337965 405558 450620 675930 811116 833647 1013895 1351860 1667294 2027790 2500941 3334588 4055580 4168235 5001882 7502823 8336470 10003764 12504705 15005646 16672940 25009410 30011292 37514115 50018820 75028230 150056460